Pub Date : 1900-01-01DOI: 10.3318/pria.2016.116.05
Elmiloud Chil, Mokaddem Mohamed
{"title":"A relationship between the order convergence and the relative uniform convergence in a Riesz space","authors":"Elmiloud Chil, Mokaddem Mohamed","doi":"10.3318/pria.2016.116.05","DOIUrl":"https://doi.org/10.3318/pria.2016.116.05","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115220897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.3318/PRIA.2004.104.2.211
M. Crabb, J. Duncan, C. McGregor
{"title":"SPECTRA IN SOME INVERSE SEMIGROUP ALGEBRAS","authors":"M. Crabb, J. Duncan, C. McGregor","doi":"10.3318/PRIA.2004.104.2.211","DOIUrl":"https://doi.org/10.3318/PRIA.2004.104.2.211","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115363061","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Zonal Influences in a Modified Stommel-Arons Model of the Abyssal Ocean Circulation","authors":"P. Hodnett, R. McNamara","doi":"10.1353/mpr.2002.0015","DOIUrl":"https://doi.org/10.1353/mpr.2002.0015","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"636 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123960263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Path-Connected Components in Weighted Composition Operators on the Disk Algebra with the Essential Operator Norm","authors":"K. Izuchi, Y. Izuchi","doi":"10.3318/PRIA.2015.115.5","DOIUrl":"https://doi.org/10.3318/PRIA.2015.115.5","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124489389","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Back Matter","authors":"","doi":"10.1353/mpr.2013.0018","DOIUrl":"https://doi.org/10.1353/mpr.2013.0018","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121839488","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.3318/PRIA.2008.108.1.27
P. V. Dovbush
{"title":"BLOCH FUNCTIONS ON COMPLEX BANACH MANIFOLDS","authors":"P. V. Dovbush","doi":"10.3318/PRIA.2008.108.1.27","DOIUrl":"https://doi.org/10.3318/PRIA.2008.108.1.27","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128469909","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.3318/PRIA.2008.109.1.61
G. Kantúun-Montiel, S. Djordjević
Caradus [2] has defined an operators Τ G B(X) on a Banach space to be "generalised Fredholm" if Τ = Τ ST has a generalised inverse S G B (X) for which I ST Τ S is Fredholm, and in a sequence of papers Schmoeger has extended the idea to "generalised invertible" Banach algebra elements ([7; 8]) and elements which are generalised Fredholm relative to the socle ([6]). In this note we look at elements which are "generalised T-Fredholm" , where Τ : A » Β is a unital homomorphism of Banach algebras. Let A and Β be complex algebras with unit e, and suppose that Τ : A > Β is an algebra homomorphism in the sense that T(ab) = T(a)T(b) and T(e) = e. Recall that an element a G A is invertible provided there is an element b such that ab = ba = e. We will denote by A~l the set of all invertible elements of A, and by C the complex plane. If a G -A, the spectrum of a is the set σ^(α) = {λ G C : 'e-a<£A-1}. An element a G A is relatively regular if there is b G A such that a = aba. We call such b a generalised inverse of a. We will denote the set of all relatively regular elements of A by A. A subspace J of A is a left (right) ideal if ab G J (ba G J) whenever a G A and b G J. An ideal in A is a subspace that is simultaneously a left and a right ideal in
Caradus[2]定义了一个算子Τ G B(X)在一个Banach空间上是“广义Fredholm”，如果Τ = Τ ST有一个广义逆S G B(X)，其中I ST Τ S是Fredholm，并且在一系列的论文中，Schmoeger将这个思想扩展到“广义可逆”的Banach代数元素([7;[8])和相对于社会的广义Fredholm元素([6])。在这篇笔记中，我们看看“广义T-Fredholm”的元素，其中Τ: A»Β是Banach代数的单位同态。设A和Β是单位为e的复代数，并设Τ: A > Β是一个代数同态，在T(ab) = T(A)T(b)和T(e) = e的意义上，A > Β是一个代数同态。回想一下，如果存在一个元素b使得ab = ba = e，那么元素A G A是可逆的。我们用A~ 1表示A的所有可逆元素的集合，用C表示复平面。如果a是G -A，则a的谱是集合σ^(α) = {λ G C: 'e-a<£a -1}。如果元素a G a满足a = aba，则元素a G a是相对正则的。我们称这样的b为a的广义逆。我们用a表示a的所有相对正则元素的集合。a的子空间J是左(右)理想，如果ab G J (ba G J)，当a G a和b G J时。a中的理想是a中的同时是左(右)理想的子空间
{"title":"ON GENERALISED T-FREDHOLM ELEMENTS IN BANACH ALGEBRAS","authors":"G. Kantúun-Montiel, S. Djordjević","doi":"10.3318/PRIA.2008.109.1.61","DOIUrl":"https://doi.org/10.3318/PRIA.2008.109.1.61","url":null,"abstract":"Caradus [2] has defined an operators Τ G B(X) on a Banach space to be \"generalised Fredholm\" if Τ = Τ ST has a generalised inverse S G B (X) for which I ST Τ S is Fredholm, and in a sequence of papers Schmoeger has extended the idea to \"generalised invertible\" Banach algebra elements ([7; 8]) and elements which are generalised Fredholm relative to the socle ([6]). In this note we look at elements which are \"generalised T-Fredholm\" , where Τ : A » Β is a unital homomorphism of Banach algebras. Let A and Β be complex algebras with unit e, and suppose that Τ : A > Β is an algebra homomorphism in the sense that T(ab) = T(a)T(b) and T(e) = e. Recall that an element a G A is invertible provided there is an element b such that ab = ba = e. We will denote by A~l the set of all invertible elements of A, and by C the complex plane. If a G -A, the spectrum of a is the set σ^(α) = {λ G C : 'e-a<£A-1}. An element a G A is relatively regular if there is b G A such that a = aba. We call such b a generalised inverse of a. We will denote the set of all relatively regular elements of A by A. A subspace J of A is a left (right) ideal if ab G J (ba G J) whenever a G A and b G J. An ideal in A is a subspace that is simultaneously a left and a right ideal in","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130275659","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SUPERCYCLIC AND HYPERCYCLIC NON-CONVOLUTION OPERATORS ON HILBERT-SCHMIDT ENTIRE FUNCTIONS","authors":"H. Petersson","doi":"10.1353/mpr.2005.0010","DOIUrl":"https://doi.org/10.1353/mpr.2005.0010","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130329390","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.3318/PRIA.2008.108.2.165
S. Fouladi, A. Jamali, R. Orfi
{"title":"ON THE AUTOMORPHISM GROUP OF A FINITE P-GROUP WITH CYCLIC FRATTINI SUBGROUP","authors":"S. Fouladi, A. Jamali, R. Orfi","doi":"10.3318/PRIA.2008.108.2.165","DOIUrl":"https://doi.org/10.3318/PRIA.2008.108.2.165","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128780480","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The Density of the Real Genus Values of p-Groups","authors":"Jay Zimmerman","doi":"10.1353/mpr.2015.0011","DOIUrl":"https://doi.org/10.1353/mpr.2015.0011","url":null,"abstract":"","PeriodicalId":434988,"journal":{"name":"Mathematical Proceedings of the Royal Irish Academy","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125256433","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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